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Finding the Fourth Proportional to 16,234.74, 22,401.90 and 9,159.93

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Solution

The fourth proportional to 16,234.74, 22,401.90 and 9,159.93 is: 12,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.74 : 22,401.90 = 9,159.93 : x
  2. Step 2: Convert to fraction form
    16,234.74/22,401.90 = 9,159.93/x
  3. Step 3: Cross multiply
    16,234.74x = 22,401.90 × 9,159.93
  4. Step 4: Simplify right side
    16,234.74x = 205,199,835.87
  5. Step 5: Solve for x
    x = 205,199,835.87/16,234.74
  6. Step 6: Final answer
    x = 12,639.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.